Equivalent Ratios and Ratio Tables

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What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different. For example, 1:2 and 2:4 are equivalent ratios.

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How do you find an equivalent ratio?

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To find an equivalent ratio, you can multiply or divide both terms of the ratio by the same non-zero number. For example, to find an equivalent ratio of 3:4, multiply both terms by 2 to get 6:8.

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What is a ratio table?

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A ratio table is a table that shows the relationship between two quantities in a ratio format. It helps to visualize equivalent ratios and can be used to solve problems.

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If a recipe calls for 2 cups of sugar for every 3 cups of flour, what is the equivalent ratio for 4 cups of sugar?

Back

The equivalent ratio for 4 cups of sugar is 6 cups of flour (4:6).

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If it takes 3 hours to read 60 pages, how many pages can be read in 1 hour?

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20 pages can be read in 1 hour.

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If a car travels 150 miles in 3 hours, what is the equivalent ratio of miles to hours?

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The equivalent ratio is 50 miles per hour (150:3 simplifies to 50:1).

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How do you use a ratio table to solve problems?

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You can use a ratio table by listing the known ratios and then finding equivalent ratios to solve for unknown quantities.

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If it takes 5 hours to paint 2 rooms, how long will it take to paint 1 room?

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It will take 2.5 hours to paint 1 room.

Front

What is the relationship between ratios and proportions?

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Ratios compare two quantities, while proportions state that two ratios are equal. For example, if 1:2 = 2:4, then these ratios are in proportion.

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If a recipe requires 1 cup of milk for every 2 cups of flour, how much milk is needed for 8 cups of flour?

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4 cups of milk are needed for 8 cups of flour.